Volume 9, Issue 1
Application of Modified Couple Stress Theory and Homotopy Perturbation Method in Investigation of Electromechanical Behaviors of Carbon Nanotubes

Mir Masoud Seyyed Fakhrabadi

Adv. Appl. Math. Mech., 9 (2017), pp. 23-42.

Published online: 2018-05

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  • Abstract

The paper presents the size-dependant behaviors of the carbon nanotubes under electrostatic actuation using the modified couple stress theory and homotopy perturbation method. Due to the less accuracy of the classical elasticity theorems, the modified couple stress theory is applied in order to capture the size-dependant properties of the carbon nanotubes. Both of the static and dynamic behaviors under static DC and step DC voltages are discussed. The effects of various dimensions and boundary conditions on the deflection and pull-in voltages of the carbon nanotubes are to be investigated in detail via application of the homotopy perturbation method to solve the nonlinear governing equations semi-analytically.

  • Keywords

Carbon nanotubes, modified couple stress theory, homotopy perturbation method, electrostatic actuation.

  • AMS Subject Headings

35Q70

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COPYRIGHT: © Global Science Press

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@Article{AAMM-9-23, author = {}, title = {Application of Modified Couple Stress Theory and Homotopy Perturbation Method in Investigation of Electromechanical Behaviors of Carbon Nanotubes}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2018}, volume = {9}, number = {1}, pages = {23--42}, abstract = {

The paper presents the size-dependant behaviors of the carbon nanotubes under electrostatic actuation using the modified couple stress theory and homotopy perturbation method. Due to the less accuracy of the classical elasticity theorems, the modified couple stress theory is applied in order to capture the size-dependant properties of the carbon nanotubes. Both of the static and dynamic behaviors under static DC and step DC voltages are discussed. The effects of various dimensions and boundary conditions on the deflection and pull-in voltages of the carbon nanotubes are to be investigated in detail via application of the homotopy perturbation method to solve the nonlinear governing equations semi-analytically.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.2014.m71}, url = {http://global-sci.org/intro/article_detail/aamm/12135.html} }
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